I think I know the answer to these questions, but I jsut want to make sure. 1) If A is invertible then A+A is invertible. True/False True. Because det(A)≠0, det(A+A)=det(2A)=2^n * det(A)≠0 Is this correct. 2) A 3x3 matrix can have 2 distinct eigenvalues. True/False True, although I was kind of confused with what "distinct" means. The characteristic polynomial can look something like this: (λ-1)^2 * (λ+2) Distinct just refers to the # of "different" eigenvalues right? And doesn't include them again if they're repeated?